362.7 is what percent of 400.9 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 400.9 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 400.9, so we can write it down as 100%=400.9.
4. We know, that x% equals 362.7 of the output value, so we can write it down as x%=362.7.
5. Now we have two simple equations:
1) 100%=400.9
2) x%=362.7
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=400.9/362.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 362.7 is what percent of 400.9

100%/x%=400.9/362.7
(100/x)*x=(400.9/362.7)*x       - we multiply both sides of the equation by x
100=1.1053212020954*x       - we divide both sides of the equation by (1.1053212020954) to get x
100/1.1053212020954=x
90.471439261661=x
x=90.471439261661

now we have:
362.7 is 90.471439261661% of 400.9